For the 1,000th time, what’s next for Brexit?

It seems Prime Minister Theresa May’s sacrificial promise to resign in exchange for support for her withdrawal plan has made little difference.

Parliament remains deadlocked. A third vote on her twice-rejected plan will take place in Parliament today, but a third rejection is entirely possible.

To add to the complications, none of the eight alternative Brexit plans on which lawmakers voted on Wednesday mustered a majority, setting the stage for yet another round of debates in Parliament next week.

Analysis: Mrs. May’s resignation offer was a surprising move for a woman who, over the last two years, has bounced back from crises with unflappable resolve. “The sight of this proud, rigid woman admitting that she could not finish the job, giving up her hopes of ever being remembered as anything but Brexit roadkill, was a somber one,” writes our London correspondent Ellen Barry.

“The Russia hoax is finally dead.”

“After three years of lies and smears and slander, the Russia hoax is finally dead,” Mr. Trump declared. “The collusion delusion is over.”

There were greater-than-usual concerns about trouble at the rally, with security personnel more visible and sturdier barriers between the news media and the audience. But the mood in the crowd seemed no more intense, our reporters found, than at previous Trump rallies.

The Mueller report: The Justice Department acknowledged that the report by the special counsel, Robert Mueller, was more than 300 pages long, raising questions about what was left out of Attorney General William Barr’s four-page summary of Mr. Mueller’s findings.

Congress: The House Intelligence Committee’s first hearing since the completion of the report devolved into tumult. Republican members called on the chairman, Adam Schiff, an outspoken Trump critic, to resign. He accused them of turning a blind eye to President Trump’s wrongdoing.

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A family in Syria sitting beneath posters of Iran’s allies, including President Bashar al-Assad of Syria and Hassan Nasrallah, leader of the Lebanese militia group Hezbollah.CreditGeorge Outfalian/Agence France-Presse — Getty Images

U.S. sanctions trickle down to Iran’s network of allies

Hezbollah fighters directed by Iran to fight the Islamic State have missed paychecks. Promised funds and support to help Syria rebuild have failed to materialize.

Context: Iran has long used its patronage of Hezbollah in Lebanon, Shiite militias in Iraq and Syria, the Palestinian militant groups Hamas and Islamic Jihad, and the Houthi rebels in Yemen to boost its influence and counter the powers of Saudi Arabia and Israel.

Caution: Analysts question whether the lack of Iranian support will change the behavior of these groups, which remain ideologically committed to Iran’s agenda and can promote it through local politics.

“When you try to push Iran out of the region by sanctioning it,” said one expert, “you are forcing it to get involved in the region even more.”

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The Brunt Ice ShelfCreditRosemary Calvert/Alamy

A massive iceberg is about to split off from Antarctica

Two rifts on the Brunt Ice Shelf, in West Antarctica, are close to calving, or breaking off, creating an iceberg over 560 square miles (1,450 square kilometers) in size — about twice the size of New York City.

The rifts were stable for 30 years, but in 2016, an image showed the two advancing toward each other. Scientists say the break could trigger the further retreat of the entire shelf. We’ve mapped the timeline of the split.

Here’s what else is happening

Lyft: The ride-hailing app priced its shares at $72 a pop at its I.P.O., putting its value at $24.3 billion. Its market debut was the biggest so far this year. Uber — its main rival in North America — is expected to have an even bigger I.P.O., reflecting investors’ demand for a new generation of Silicon Valley darlings that have created the gig economy.

Nissan: Once seen as a model of global cooperation, the Nissan-Renault alliance seethed with fear and rivalries. Our reporter reconstructs an environment ripe for exactly the kind of back-stabbing that Carlos Ghosn, the company’s former chairman, says brought him down.

Huawei: A British review found “significant” security problems with the Chinese company’s telecommunications equipment that governments and independent hackers could exploit, posing risks to national security. But the report stopped short of banning the company’s equipment in the country.

U.S.-China tension: The Trump administration is pushing a Chinese firm, Beijing Kunlun, to relinquish its ownership of Grinder over concerns that Beijing could use personal information on the U.S.-based app — like sexual orientation or dating habits — to blackmail or influence American officials.

France: An outburst of attacks against Roma this week was fueled by false reports of child kidnappings that circulated on social media. It’s the latest example of the platforms being used to fan prejudice, with dangerous, or even deadly, consequences.

Saudi Arabia: Three women who were among the activists arrested last spring as they campaigned for an expansion of Saudi women’s rights were granted release, though the case against them and their fellow activists will proceed.

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CreditTiffany Kosch

Frogs: The first global analysis of a fungus that has been wiping out frogs for decades demonstrates that it is, in the words of one researcher, “the most deadly pathogen known to science.” It has caused major declines in more than 500 species of frogs around the world, and at least 90 are presumed to have gone extinct.

New Zealand: The country’s immigration agency said that registrations of interest to live and work there — the first step toward applying for a visa — had increased in the 10 days after this month’s mosque attacks, compared with the 10 days leading up to it. Much of the interest came from Americans and people in predominantly Muslim countries.

Salman Rushdie: In his first book review for The Times in almost two decades,the author vouches for “The Old Drift” by Namwali Serpell, a sweeping debut novel about the roots of modern Zambia. It ranges skillfully, he writes, “between historical and science fiction, shifting gears between political argument, psychological realism and rich fabulism.” (Mr. Rushdie’s last book review for The Times was of Thomas Pynchon’s “Vineland” in 1990.)

Back Story

Two American astronauts are making a spacewalk today, just not the two who would have made history.

[NASA’s website will have live coverage starting at 6:30 a.m. Eastern.]

One of the two, Christina Koch, was originally paired with Anne McClain for what was supposed to be the first all-female spacewalk. It was canceled after Ms. McClain found that the available spacesuit was a bit too roomy, a safety issue that raised questions of sexism.

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Valentina Tereshkova, who became the first woman in space.CreditCentral Press, via Getty Images

That made us think about the media coverage of women in space. In 1963, the cosmonaut Valentina Tereshkova, 26, became the first, orbiting the Earth aboard the Vostok 6. She is now 82 and a member of Russia’s Parliament.

“Soviet Blonde Orbiting as First Woman in Space” was the headline in The New York Herald Tribune’s European edition, which reported: “Valentina — or Valya, by which she is known to her friends — seemed to wipe away the gloom of Moscow’s gray skies.”

Karen Zraick, a reporter, wrote today’s Back Story.

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